Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
-2(x-3)+4x=-(-x+1) solve for x
Answer:
- 7
Step-by-step explanation:
Step 1:
- 2 ( x - 3 ) + 4x = - ( - x + 1 ) Equation
Step 2:
- 2x + 6 + 4x = x - 1 Multiply/Open Parenthises
Step 3:
2x + 6 = x - 1 Combine Like Terms
Step 4:
x + 6 = - 1 Subtract x on both sides
Answer:
x = - 7 Subtract 6 on both sides
Hope This Helps :)
PLEASE HELP!! Find the market equilibrium point for the following demand and supply equations
9514 1404 393
Answer:
(p, q) = (16, 20)
Step-by-step explanation:
You can add the two equations together to make one from which q can be eliminated:
(4p) +(3p -q) = (-q +84) +(28)
7p -q = -q +112 . . . . simplify
7p = 112 . . . . . . . . . . add q
p = 112/7 = 16
Using this value in the second equation, we get ...
3·16 -q = 28
48 -28 = q = 20 . . . . . add q-28
The equilibrium point is (p, q) = (16, 20).
what is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
Given problems:
Line parallel that passes through (2,3);
Solution:
To solve this problem, we need to first understand what parallel lines are.
A parallel line is any two line that does not meet at any point.
In order to achieve this, both lines must have the same slope.
So, we find the slope of the given line and write in the form for a straight line.
Slope of line = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let x₁, y₁ = (-2, -1)
x₂, y₂ = (2 , -3)
Now input the parameters and solve for the slope;
Slope of line = [tex]\frac{-3-(-1)}{2- (-1)}[/tex] = [tex]\frac{-2}{3}[/tex]
Any line that would be parallel to this must have the same slope.
Equation of a straight line;
y = mx + c;
y and x are the coordinates;
m is the slope
c is the y-axis intercept;
From (2, 3);
y = 3 and x = 2; m = [tex]\frac{-2}{3}[/tex]
3 = [tex]\frac{-2}{3}[/tex] x 2 + C
3 = [tex]-\frac{4}{3}[/tex] + C
C = [tex]\frac{13}{3}[/tex]
So the equation of the line is;
y = [tex]\frac{-2}{3} x[/tex] + [tex]\frac{13}{3}[/tex]
Multiply through by 3;
3y = -2x + 13
The equation of the line is 3y = -2x + 13
Answer:
x + 2y = 8
Step-by-step explanation:
Jose has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many used stamps does he have?
Answer:
21
Step-by-step explanation:
is 0.007 times 10 equivalent to 0.07
Answer:
Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.
Step-by-step explanation:
Hope I could help :D
7х + Зу = 15
Slope intercept form steps
Answer:
y = -7/3x + 5
Step-by-step explanation:
7x + 3y = 15
- subtract 7x from both sides
3y = -7x + 15
- divide both sides by 3
y = -7/3x + 5
In 2012 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the accrued value of the account in the year 2030, when her son will go to college. Round your answer the nearest cent.
In the year 2030, the accrued value will be $
Answer: $23,896
Step-by-step explanation:
In the year 2030, the number of years since the investment would be;
= 2030 - 2012
= 18 years.
As the question does not mention that the interest paid is compounded, simple interest will be used;
= Amount + (Amount * interest rate * number of years).
= 14,500 + ( 14,500 * 0.036 * 18)
= $23,896
Trevor surveyed attendees at a comic book convention about the distance they lives from the convention center in the top of ticket they purchased for the event the data he gathered is shown in a two-way table below how many people did Trevor survey
Answer:137
Im not completely sure though!
Step-by-step explanation:
Answer:
its 137 im 100% sure of it
Step-by-step explanation:
What is the value of n?
| n | = 5
Answer:
5
Step-by-step explanation:
Answer:
Step-by-step explanation:
When you think you know what n is, check your answer. Add n to 7 and divide by 4. Do you get 5?
Add using the number line. −11+5 Drag and drop the word SUM to the correct value on the number line.
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
did the test
please answer!!
Graphs of Linear Functions
write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)
y= ?
Answer:
Y= -8
Step-by-step explanation:
i think so......
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what is -0.3 x -10/11
Answer:
-0.3x-10/11=3/11
Evaluate.
a = 4, for a = 32
07
09
08
An assembly line must create one finished product every 3 minutes. The sum of the task times required to create a product is 700 seconds. What is the theoretical minimum number of workstations for this assembly line
Answer:
We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.
Step-by-step explanation:
At first we assume that assembly line is formed solely by workstations configurated in series. We must keep in mind that theoretical minimum number of workstations is equal to the sum of the task times required to create a product divided by the time taken by the assembly line to create one finished product. That is:
[tex]n = \frac{700\,s}{3\,min\times 60\,\frac{s}{min} }[/tex]
[tex]n = 3.889\,workstations[/tex]
We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.
yavonee reads 14 pages in 28 mins, at this rate, how many pages does she read in 50 mins
Answer:
yavonee can read 25 pages in 50 minutes with the same rate.
Step-by-step explanation:
calcuate how may pages does yavonee read in 1 minute
14/28
= 1/2 or 0.5
0.5 * 50
= 25
In 50 minutes Yavonee can read 100 pages with a unit rate of 2 pages per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Yavonee reads 14 pages in 28 mins.
∴ In 1 minute she reads (28/14) = 2 pages.
So, In 50 minutes she can read (2×50) = 100 pages.
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What is the ratio of 48 to 60
find two consecutive integers whose sum is 93.
Answer:
46 and 47
Step-by-step explanation:
46 + 47 = 93The diagram below represents the side view of a bike ramp.
Which of the following is closest to the value of x ?
Answer:
32
Step-by-step explanation:
We are finding X and it connects to the base and the height, so it is going upward only a bit, so you add the base to the height or 26 + 6 = 32.
Answer:
32
Step-by-step explanation:
All you need to do is add 26 + 6=32
The sum of a number and eight is fifteen. Find the number.
Answer:
x = 7
Step-by-step explanation:
Let x be the number
x + 8 = 15Subtract 8 from each side, so it now looks like this: x = 7I hope this helps!
Please answer I need help badly
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
Answer:
Same I honestly couldn't agree more
Damarius is making some big life decisions! He decides it's time to start saving for his future and deposits $300 each month at 4.1% annual interest, compounded monthly, for 30 years. At the end of 30 years, he has an account balance of $211,966.64. How much of this did Damarius contribute and how much of this is interest?
Answer:
$108,000
$103,966.64
Step-by-step explanation:
Damarius contributes $300 each month, for 30 years. Therefore, to find the amount he contributed, we multiply those pieces together (12 months in each year).
300⋅12⋅30=$108,000
Therefore, over the 30 years, Damarius contributed $108,000.
If there was $211,966.64 in his account, and he contributed $108,000, then the rest is interest.
$211,966.64−$108,000=$103,966.64
There was $103,966.64 in interest earned on Damarius' account.
How to get x by its self y=Mx+c
Answer:
Subtract c, then divide by m.
The cast of the play had a party. The drama teacher served 20 cookies and 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of carrot sticks. Nothing was leftover. The drama teacher did not eat. How many cast members must have been at the party?
Answer:
20 cast members
Step-by-step explanation:
Each cast member must've ate 1 cookie and 2 carrot sticks.
Help me please ASAP Is the function y=5/4 linear and nonlinear
Answer:
linear
Step-by-step explanation:
Solve for h.
2h − 1 = 1
h =
Answer:
h = 1
Step-by-step explanation:
2h - 1 = 1
2h - 1 + 1 = 1 + 1
2h = 2
2h/2 = 2/2
h = 1
Check:
2(1) - 1 = 1
2 - 1 = 1
1 = 1
Answer:
h = 1
Step-by-step explanation:
Add 1 to each side, so it now looks like this: 2h = 2Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = 1I hope this helps!
Solve the proportion 100/x=75/6
Answer: x=8.
Step-by-step explanation: Here are the steps to solving this proportion:
100/x=75/6.
Step 1: Cross-multiply.
100/ x = 75 /6
(100)*(6)=75*x
600=75x
Step 2: Flip the equation.
75x=600
Step 3: Divide both sides by 75.
75x
75
=
600
75
x=8
So the answer is x=8.
Let f(x)=4(13)2x. Which is equal to f(1)?
Answer:
104
Step-by-step explanation:
f(x)=4(13)2x
f(x)= 104x
f(1)=104(1)
f(1)=104
hope it helps
Last year during the July 4th holiday, Americans ate about 150,000,000 hot dogs. Over the entire year, Americans ate a total of about 2 x 10^10. Compute how many times greater the total number of hot dogs eaten by Americans last year was than the number of hot dogs eaten during the 4th of July holiday. Round your answer to the nearest one.
Answer:
133 times
Step-by-step explanation:
First, convert 2 x 10^10 out of scientific notation:
20,000,000,000
Since this is the total amount of hotdogs, divide by the number eaten on July 4th:
20,000,000,000 / 150,000,000 = 133.3333333
Round to nearest one: 133 times
The total number of hot dogs eaten by Americans last year is 133 times greater than the number of hot dogs eaten during the 4th of July holiday.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
The number of hot dogs that ate on 4th July holiday= 150,000,000
The number of hot dogs that ate last year = 2 x [tex]10^{10}[/tex]
The number of times the total number of hot dogs eaten last year than the number of hot dogs eaten during the 4th of July holiday is:
Number of hot dogs eaten in July x M = Number of hot dogs eaten in the entire year
150,000,000 x M = 2 x [tex]10^{10}[/tex]
M = 2 x [tex]10^{10}[/tex] / 150,000,000
M = 20,000,000,000 / 150,000,000
M = 133.33
Rounding to the nearest one we get,
M = 133
Thus the total number of hot dogs eaten last year is 133 times greater than the number of hot dogs eaten during the 4th of July holiday.
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Which is greater, 25% of $200 or 80% of 100?
Answer:
80% of 100
Step-by-step explanation:
25% of something is basically dividing it by 4, meaning 25% of 200 is 50,
While 80% of 100 is 80
A good way to memorize this is if youre taking anything as a percent of 100, get rid of a 0 on the 100, and put a decimal place in the number.
(e.g. 90% of 10 is 9. whereas 90% of 100 is 90)
Just remember which you're dealing with!
Hope this helps!
Answer:
80% of 100 is greaterStep-by-step explanation:
25% of 200 is
0.25*200 = 5080% of 100 is
0.8*100 =80As 80 > 50,
the second number is greater